Solve 70+x/3=-4+7x/5

$$\frac{ 70+x }{ 3 } = -4+ \frac{ 7x }{ 5 }$$

Solve for x

$$x = \frac{205}{8} = 25\frac{5}{8} = 25.625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(70+x\right)=-60+3\times 7x$$

Use the distributive property to multiply 5 by 70+x.

$$350+5x=-60+3\times 7x$$

Multiply 3 and 7 to get 21.

$$350+5x=-60+21x$$

Subtract 21x from both sides.

$$350+5x-21x=-60$$

Combine 5x and -21x to get -16x.

$$350-16x=-60$$

Subtract 350 from both sides.

$$-16x=-60-350$$

Subtract 350 from -60 to get -410.

$$-16x=-410$$

Divide both sides by -16.

$$x=\frac{-410}{-16}$$

Reduce the fraction \frac{-410}{-16} to lowest terms by extracting and canceling out -2.

$$x=\frac{205}{8}$$